Comparison of the Lindhard–Sørensen and Mott–Bloch Corrections to the Bethe Stopping Formula at Moderately Relativistic Energies

Abstract

A comparative study of the total Mott and Bloch correction and the Lindhard−Sørensen correction in the point nucleus approximation to the Bethe stopping formula is performed for the ranges of a gamma factor and the ion nuclear charge number 6 ≤ Z ≤ 114. It is shown that the accurate calculation of the Mott–Bloch correction based on the Mott exact cross section using a method previously proposed by one of the authors gives excellent agreement between its values and the values of the Lindhard–Sørensen correction in the γ and Z ranges under consideration. It is also demonstrated that the results of stopping power calculations obtained by the two above-mentioned rigorous methods provide the best agreement with experimental data in contrast with the results of approximate methods, such as the methods of Ahlen, Jackson– McCarthy, etc.